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Finding the Fourth Proportional to 27,114.34, 37,419.45 and 15,178.42

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Solution

The fourth proportional to 27,114.34, 37,419.45 and 15,178.42 is: 20,947.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,114.34 : 37,419.45 = 15,178.42 : x
  2. Step 2: Convert to fraction form
    27,114.34/37,419.45 = 15,178.42/x
  3. Step 3: Cross multiply
    27,114.34x = 37,419.45 × 15,178.42
  4. Step 4: Simplify right side
    27,114.34x = 567,968,128.27
  5. Step 5: Solve for x
    x = 567,968,128.27/27,114.34
  6. Step 6: Final answer
    x = 20,947.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.